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  • Mathematical Sciences and Applications E-Notes
  • Volume:7 Issue:1
  • New Inequalities for Preinvex Functions

New Inequalities for Preinvex Functions

Authors : Huriye KADAKAL, İmdat İŞCAN
Pages : 54-61
Doi:10.36753/mathenot.559247
View : 22 | Download : 8
Publication Date : 2019-04-30
Article Type : Research Paper
Abstract :In this study, a new identity for functions defined on an open invex subset of set of real numbers is formed. After that we established Hermite-Hadamard-like inequalities for this type of functions. Then, by using the this identity and the Hölder and Power mean integral inequalities we present new type integral inequalities for functions whose powers of fourth derivatives in absolute value are preinvex functions.
Keywords : Invex set, preinvex function, Hölder Integral inequality

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